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首页> 外文期刊>Physica, A. Statistical mechanics and its applications >Gaussian wavepacket dynamics and quantum tunneling in asymmetric double-well systems
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Gaussian wavepacket dynamics and quantum tunneling in asymmetric double-well systems

机译：非对称双阱系统中的高斯波包动力学和量子隧穿

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摘要

We have studied dynamical properties and quantum tunneling in asymmetric double-well (DW) systems, by solving Schr?dinger's equation with the use of two kinds of spectral methods for initially squeezed Gaussian wavepackets. Time dependences of wavefunction, averages of position and momentum, the auto-correlation function, an uncertainty product and the tunneling probability have been calculated. Our calculations have shown that (i) the tunneling probability is considerably reduced by a potential asymmetryΔU, (ii) a resonant tunneling with |ΔU| ? κ ?ω is realized for motion starting from the upper minimum of asymmetric potential wells, but not for motion from lower minimum (κ = 0, 1, 2,...; ω: oscillator frequency at minima), (iii) the reduction of the tunneling probability by an asymmetry is less significant for the Gaussian wavepacket with narrower width, and (iv) the uncertainty product (δx~2)(δp~2) in the resonant tunneling state is larger than that in the non-resonant tunneling state. The item (ii) is in contrast with the earlier study [D. Mugnai, A. Ranfagni, M. Montagna, O. Pilla, G. Viliani, M. Cetica, Phys. Rev. A 38 (1988) 2182] which showed the symmetric result for motion starting from upper and lower minima.
机译：通过使用两种频谱方法对最初压缩的高斯波包进行求解，通过研究薛定er方程，我们研究了非对称双阱（DW）系统中的动力学性质和量子隧穿。计算了波函数的时间依赖性，位置和动量的平均值，自相关函数，不确定性乘积和隧穿概率。我们的计算表明，（i）潜在的不对称性ΔU大大降低了隧穿概率，（ii）|ΔU|的共振隧穿？ κωω是针对从非对称势阱的上限值开始的运动实现的，而不是针对下限值的运动（κ= 0、1、2，...;ω：最小值处的振荡器频率）实现的，（iii）减小对于宽度较窄的高斯波包，通过不对称性进行隧穿概率的影响较小，并且（iv）共振隧穿状态的不确定性乘积（δx〜2）（δp〜2）大于非共振隧穿的不确定性乘积州。 （ii）项与先前的研究相反[D。 Mugnai，A。Ranfagni，M。Montagna，O。Pilla，G。Viliani，M。Cetica，物理学。 Rev. A 38（1988）2182]显示了从上下极小值开始的运动的对称结果。

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